57296640 has 144 divisors (see below), whose sum is σ = 187786368. Its totient is φ = 14880768.

The previous prime is 57296627. The next prime is 57296641. The reversal of 57296640 is 4669275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57296641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164947 + ... + 165293.

It is an arithmetic number, because the mean of its divisors is an integer number (1304072).

Almost surely, 2^57296640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93893184).

57296640 is an abundant number, since it is smaller than the sum of its proper divisors (130489728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57296640 is a wasteful number, since it uses less digits than its factorization.

57296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 57296640 is about 7569.4544057019. The cubic root of 57296640 is about 385.5165720004.

The spelling of 57296640 in words is "fifty-seven million, two hundred ninety-six thousand, six hundred forty".